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Efficient numerical solvers for sparse linear systems are crucial in science and engineering.
Backpropagation-friendly eigendecomposition
Wang, W., Dang, Z., Hu, Y., Fua, P., and Salzmann, M · 1906
Earlier work this paper cites.
Multi-level adaptive solutions to boundary-value problems
Brandt, A · 1977
Earlier work this paper cites.
Algebraic multigrid (AMG) for geodetic survey problems
Ruge, J · 1983
Earlier work this paper cites.
Algebraic multigrid (AMG) for sparse matrix equations
Brandt, A., McCormick, S. F., and Ruge, J · 1984
Earlier work this paper cites.
Algebraic multigrid (AMG)
Ruge, J. and Stüben, K · 1987
Earlier work this paper cites.
Algebraic multigrid
Ruge, J. W. and Stüben, K · 1987
Earlier work this paper cites.
A multi-level solution algorithm for steady-state Markov chains
Horton, G. and Leutenegger, S. T · 1994
Earlier work this paper cites.
Triangle: Engineering a 2d quality mesh generator and delaunay triangulator
Shewchuk, J. R · 1996
Earlier work this paper cites.
Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
Vanek, P., Mandel, J., and Brezina, M · 1996
Earlier work this paper cites.
Coarse-grid selection for parallel algebraic multigrid
Cleary, A. J., Falgout, R. D., Jones, J. E., et al · 1998
Earlier work this paper cites.
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Brezina, M., Cleary, A. J., Falgout, R. D., Henson, V. E., Jones, J. E., Manteuffel, T. A., McCormick, S. F., and Ruge, J. W · 2000
Earlier work this paper cites.
A multigrid tutorial
Briggs, W. L., Henson, V. E., and McCormick, S. F · 2000
Earlier work this paper cites.
Element-free AMGe: General algorithms for computing interpolation weights in AMG
Henson, V. E. and Vassilevski, P. S · 2001
Earlier work this paper cites.
Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method
Knyazev, A. V · 2001
Earlier work this paper cites.
Algebraic multigrid (AMG): an introduction with applications
Stüben, K · 2001
Earlier work this paper cites.
Multigrid
Trottenberg, U., Oosterlee, C., and Schüller, A · 2001
Earlier work this paper cites.
Solving partial differential equations in real-time using artificial neural network signal processing as an alternative to finite-element analysis
Sun, M., Yan, X., and Sclabassi, R. J · 2003
Earlier work this paper cites.
A new model for learning in graph domains
Gori, M., Monfardini, G., and Scarselli, F · 2005
Cited alongside, same era.
Algebraic multigrid for higher-order finite elements
Heys, J. J., Manteuffel, T. A., McCormick, S. F., and Olson, L. N · 2005
Cited alongside, same era.
An introduction to algebraic multigrid
Falgout, R. D · 2006
Cited alongside, same era.
Reducing complexity in parallel algebraic multigrid preconditioners
Sterck, H. D., Yang, U. M., and Heys, J. J · 2006
Cited alongside, same era.
Parallel coarse-grid selection
Alber, D. M. and Olson, L. N · 2007
Cited alongside, same era.
An algebraic multigrid preconditioner for a class of singular M M -matrices
Virnik, E · 2007
Cited alongside, same era.
Tensorflow: A system for large-scale machine learning
Abadi, M., Barham, P., Chen, J., Chen, Z., Davis, A., Dean, J., Devin, M., Ghemawat, S., Irving, G., Isard, M., et al · 2016
Later among the works it cites.
Convolutional neural networks on graphs with fast localized spectral filtering
Defferrard, M., Bresson, X., and Vandergheynst, P · 2016
Later among the works it cites.
Semi-supervised classification with graph convolutional networks
Kipf, T. N. and Welling, M · 2016
Later among the works it cites.
An efficient multigrid method for graph Laplacian systems
Napov, A. and Notay, Y · 2016
Later among the works it cites.
Neural message passing for quantum chemistry
Gilmer, J., Schoenholz, S. S., Riley, P. F., Vinyals, O., and Dahl, G. E · 2017
Later among the works it cites.
Deep multigrid: learning prolongation and restriction matrices
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Von Luxburg, U · 2007
Cited alongside, same era.
Multilevel adaptive aggregation for Markov chains, with application to web ranking
H. De Sterck, Manteuffel, T. A., McCormick, S. F., Nguyen, Q., and Ruge, J · 2008
Cited alongside, same era.
The graph neural network model
Scarselli, F., Gori, M., Tsoi, A. C., Hagenbuchner, M., and Monfardini, G · 2008
Cited alongside, same era.
Smoothed aggregation multigrid for Markov chains
H. De Sterck, Manteuffel, T. A., McCormick, S. F., Miller, K., Pearson, J., Ruge, J., and Sanders, G · 2010
Cited alongside, same era.
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Treister, E. and Yavneh, I · 2010
Cited alongside, same era.
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Cited alongside, same era.
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Later among the works it cites.
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Battaglia, P. W., Hamrick, J. B., Bapst, V., Sanchez-Gonzalez, A., Zambaldi, V., Malinowski, M., Tacchetti, A., Raposo, D., Santoro, A., Faulkner, R., et al · 2018
Later among the works it cites.
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Li, Z., Chen, Q., and Koltun, V · 2018
Later among the works it cites.
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Selsam, D., Lamm, M., Bünz, B., Liang, P., de Moura, L., and Dill, D. L · 2018
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